Binary relations, interval structures and join spaces

descriptionPublicationkeyboard_double_arrow_right Article 01 Sep 2002 Italy English Publisher:Springer Science and Business Media LLCJournal:Journal of Applied Mathematics and Computing, volume 10, pages 209-216 (issn: 1598-5865, eissn: 1865-2085,

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Authors: CORSINI, Piergiulio;

doi: 10.1007/bf02936218

handle: 11390/850627

Binary relations, interval structures and join spaces

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Abstract

An interval structure can be represented by a binary relation. A hyperoperation is defined on a set equipped with a binary relation. In this paper the hyperstructures based on the related interval structures are studied. Some necessary and sufficient conditions on these hyperstructures to be hypergroups, join spaces and \(H_v\)-groupoids are obtained.

Country

Italy

Related Organizations

University of Udine
Italy

Keywords

hyperstructures, join spaces, \(H_v\)-groupoids, hypergroups, Hypergroups, interval structures

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